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A theorem of Lie groups
Open accessAbstract
It is the purpose of this note to prove the following theorem: THEOREM 1.Let G be a Lie group 1 and G* a compact subgroup of G. Then there exists in G an open set O containing G* with the property that for each subgroup H of G lying in O there is an element g of G such that g~lHg is in G*.
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Samelson, H. (1952) · Bulletin of the American Mathematical Society · doi:10.1090/s0002-9904-1952-09544-6 · Cited by 219
Metadata
- Authors
- Montgomery, D., & Zippin, L.
- Venue
- Bulletin of the American Mathematical Society
- Publisher
- American Mathematical Society (AMS)
- Published
- 1942
- Volume
- 48
- Issue
- 6
- Pages
- 448-452
- ISSN
- 0002-9904 (ISSN-L)
- 1088-9485
- 0273-0979
- OpenAlex
- W2072080619
- Cited by
- 58
- References
- 0
- Citations by year
- 2026: 3 · 2024: 1 · 2023: 3 · 2021: 3 · 2019: 3 · 2018: 16 · 2017: 4 · 2014: 2 · 2013: 2
- FWCI
- 3.49
- Type
- journal article
- Language
- en
- Open access
- diamond
- doi.org
- Locations
- Bulletin of the American Mathematical Society (publishedVersion)
- Project Euclid (Cornell University) (submittedVersion)
- Topics
- Physical Sciences › Mathematics › Algebra and Number Theory › Advanced Algebra and Geometry
- Physical Sciences › Mathematics › Geometry and Topology › Geometric and Algebraic Topology
- Physical Sciences › Mathematics › Algebra and Number Theory › Advanced Topics in Algebra
- Keywords
- Lie groups, compact subgroups, conjugacy of subgroups, conjugacy classes
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